2541228480 has 336 divisors, whose sum is σ = 10050865344. Its totient is φ = 577290240.

The previous prime is 2541228449. The next prime is 2541228523. The reversal of 2541228480 is 848221452.

2541228480 is a `hidden beast` number, since 2 + 54 + 122 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2541228480² = 12915684375126220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4697010 + ... + 4697550.

Almost surely, 2^2541228480 is an apocalyptic number.

2541228480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025432672).

2541228480 is an abundant number, since it is smaller than the sum of its proper divisors (7509636864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2541228480 is a wasteful number, since it uses less digits than its factorization.

2541228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2541228480 is about 50410.5988855518. The cubic root of 2541228480 is about 1364.6289213903.

The spelling of 2541228480 in words is "two billion, five hundred forty-one million, two hundred twenty-eight thousand, four hundred eighty".